MATH 1A Midterm: MATH 1A Harvard 1a Midterm2 1998 Spring
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Each question on this exam is worth 10 points. In questions 2,3, 4 and,s, unsubstantiated answers cannot be given credit. True or false, no explanation necessary. a ) t. If (c" f (c)) is a critical point of the function f, then f necessarily has a local extremum at c. I lim r--. ro e l o g 2 ( x ) X l l l n ( 2 ) If f "(-3) : 4 and f(x) is always concave up, then lim*-- f (x) : qo. e ) t. 3i _ 4x + 5,* has a horizontal asymptote ata :1/3. A girl is flying a kite at a constant height of 300 ft. When the girl has let out 500 ft. of string, the wind is moving the kite horizontally at 25 ft. /sec. J: (10 points), graph the function g - (x-1) /x2 in the space provided.